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Finding the Fourth Proportional to 16,478.63, 22,742.14 and 9,406.12

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Solution

The fourth proportional to 16,478.63, 22,742.14 and 9,406.12 is: 12,981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.63 : 22,742.14 = 9,406.12 : x
  2. Step 2: Convert to fraction form
    16,478.63/22,742.14 = 9,406.12/x
  3. Step 3: Cross multiply
    16,478.63x = 22,742.14 × 9,406.12
  4. Step 4: Simplify right side
    16,478.63x = 213,915,184.19
  5. Step 5: Solve for x
    x = 213,915,184.19/16,478.63
  6. Step 6: Final answer
    x = 12,981.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.